Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
type: Item
instance of: scholarly article
title: Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
zbMATH Open document ID: 1361.65082
author: Wei-Hua Luo
author: Ting-Zhu Huang
author: Xian-Ming Gu
author: Yi Liu
published in: Applied Mathematics Letters
publication date: 2017-03-28T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 6697786
zbMATH Keywords: barycentric rational interpolation
zbMATH Keywords: collocation method
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: nonlinear parabolic equations
zbMATH Keywords: numerical example
zbMATH Keywords: Fitzhugh-Nagumo equation
zbMATH Keywords: heat equation
MaRDI profile type: Publication
full work available at URL: j.aml.2016.12.011
OpenAlex ID: W2561980341
cites work: Barycentric rational interpolation with no poles and high rates of approximation
cites work: Convergence rates of derivatives of a family of barycentric rational interpolants
cites work: Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes
cites work: Rational functions for guaranteed and experimentally well-conditioned global interpolation
cites work: Exponential convergence of a linear rational interpolant between transformed Chebyshev points
cites work: The linear rational collocation method
cites work: Adaptive rational spectral methods for the linear stability analysis of nonlinear fourth-order problems
cites work: Convergence of Linear Barycentric Rational Interpolation for Analytic Functions
cites work: Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses
cites work: A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
cites work: A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation
cites work: On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence
cites work: Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation
cites work: The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
cites work: Linear barycentric rational quadrature
DOI: 10.1016/J.AML.2016.12.011
Recommended article: Linear barycentric rational collocation method for solving non-linear partial differential equations
Recommended article: Numerical solution of a class of nonlinear partial differential equations by using barycentric interpolation collocation method
Recommended article: Linear barycentric rational collocation method for solving biharmonic equation
Recommended article: Barycentric rational collocation method for nonlinear heat conduction equation
Recommended article: Q3130904
Recommended article: Q5382313
Recommended article: Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels
Recommended article: Q4984352
Recommended article: Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations
Recommended article: Q5195811
description: scientific article; zbMATH DE number 6697786